A rectangle is to be inscribed in a right triangle having sides of length 6 in, 8 in, and 10 in. Find the dimensions of the rectangle with greatest area assuming the rectangle is positioned as in Figure 1. Figure1

Answer:

x=-9

Step-by-step explanation:

6-15=-9

Answer:

-9

Step-by-step explanation:

When you add some thing to a negative that means you are actually subtract that number

Answer:

first is 18

second is 36

third is -10

fourth is -10

Answer: i honestly dont know this seems very complicated

Step-by-step explanation:

Answer:

3x^3+12x

Step-by-step explanation:

Answer: 5/8

Step-by-step explanation:

Simply do 8/8(1)-3/8 to get 5/8

Hope it helps <3

Hey there! :)

Answer:

118 children

58 students

59 adults

Step-by-step explanation:

We can solve this problem by setting up a system of equations:

Let a = adults

2a = children (since double the # of adults were children), and

s = students

Set up the equations:

1704 = 5(2a) + 7s + 12(a)

1704 = 10a + 7s + 12a

235 = 2a + a + s

Simplify the equations:

1704 = 22a + 7s

235 = 3a + s

Subtract the bottom equation from the top by multiplying the bottom equation by 7 to eliminate the 's' variable:

1704 = 22a + 7s

7(235 = 3a + s)

1704 = 22a + 7s

1645 = 21a + 7s

---------------------- (Subtract)

59 = a

This is the number of adults. Substitute this number into an equation to solve for the number of students:

235 = 3(59) + s

235 = 177 + s

s = 58.

Since the number of children is equivalent to 2a, solve:

2(59) = 118 children.

Therefore, the values for each group are:

118 children

59 adults

58 students.

Answer:

adults: 59, students:58 and children 118

Step-by-step explanation:

let A for adults, and C = children and S for students

There are half as many adults as there are children=

A=C/2 , C=2A

A+C+S=235 or

A+2A+S=235 first equation

3A+S=235

12A+5C+7S =1704 or

12A+10A+7S=1704

22A + 7S=1704 second equation

3A+S=235 first

solve by addition and elimination

22A+7S=1704

21 A+7S=1645 subtract two equations

A=59 adults

C=2A=2(59)=118

substitute in :A+S+C=235

S=235-(118+59)=58

check: 5C+7S+12A=1704

5(118)+7(58)+12(59)=1704

Answer: 1.7

Step-by-step explanation:

5 divided by 3=1.666666667

1.6 and next 6 in line is over 5 so the 6 turns to a 7

3*1.7= 5.1 but when rounded 1 tells 5 to stay down so it = 5

Answer:

Can you add the image so i can anwser?

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

f(x) = 4 ^ ( x-2)

Let x=3

f(3) = 4 ^ ( 3-2)

       = 4 ^ 1

       = 4

Answer:

4

Step-by-step explanation:

4^(x - 2)

Plug x as 3.

4^(3 - 2)

Subtract.

4^(1)

4^1 = 4

Answer: See solution and explanations in the attached documents

Step-by-step explanation:

See explanations in the attached documents

Answer:

A. x-3=0  D. 6=2x  F. x^2=9

Step-by-step explanation:

Substitute x=3 into each equation

A. x-3=0   3-3 =0   0=0  x=3 is a solution

B. 1+ x=2  1+3 =2  4=2  false

C. 9-x=3 9-3 =3  6=3  false

D. 6=2x  6 = 2*3   6=6  x=3 is a solution

E. 15x=3   15*3 =3  45=3  false

F. x^2=9  3^2 = 9   9=9  x=3 is a solution

Answer:

In Table C, y vary inversely with x.

1×18 = 18

2×9 = 18

3×6 = 18

18 = 18 = 18

Step-by-step explanation:

We are given four tables and asked to find out in which table y vary inversely with x.

We know that an inverse relation has a form given by

y = k/x

xy = k

where k must be a constant

Table A:

x     |      y

1     |      3

2     |     9

3     |    27

1×3 = 3

2×9 = 18

3×27 = 81

3 ≠ 18 ≠ 81

Hence y does not vary inversely with x.

Table B:

x     |      y

1     |     -5

2     |     5

3     |    15

1×-5 = -5

2×5 = 10

3×15 = 45

-5 ≠ 10 ≠ 45

Hence y does not vary inversely with x.

Table C:

x     |      y

1     |      18

2     |     9

3     |     6

1×18 = 18

2×9 = 18

3×6 = 18

18 = 18 = 18

Hence y vary inversely with x.

Table D:

x     |      y

1     |      4

2     |     8

3     |    12

1×4 = 4

2×8 = 16

3×12 = 36

4 ≠ 16 ≠ 36

Hence y does not vary inversely with x.

Answer:

the answer is x = sqrt 48

Step-by-step explanation:

Answer:

the answer is c...............

Answer:

C). 0.83193

Step-by-step explanation:

There are total of 90 passengers of which 27 are for business.

The probability of passengers for business = 27/90

The probability of passengers for business p = 0.3

The probability of passengers not for business q = 1-The probability of passengers for business

= 1-0.3

= 0.7

Random sample of 5 passenger, probability of at least one business passenger = 1 - probability of no business passenger

probability of no business passenger

= 5C0(0.3)^0 * (0.7)^5

= 1 *1*0.16807

= 0.16807

probability of at least one business passenger = 1 - probability of no business passenger

= 1-0.16807

=0.83193

Answer:

[tex] f(x) = 6x^2 +2 , -6 <x<9[/tex]

[tex] f(x) = 12 , 9 \leq x <13[/tex]

And we want to evaluate f(x=9)

And for this case the answer would be:

[tex] f(9)= 12[/tex]

Best answer:

O 12

Step-by-step explanation:

For this problem we have the following function given:

[tex] f(x) = 6x^2 +2 , -6 <x<9[/tex]

[tex] f(x) = 12 , 9 \leq x <13[/tex]

And we want to evaluate f(x=9)

And for this case the answer would be:

[tex] f(9)= 12[/tex]

Best answer:

O 12

Answer:

462.61 yards.

Step-by-step explanation:

To solve, you need to find the measurement of the angle that forms a 90 degree angle with the 23.9 degree angle.

90 - 23.9 = 66.1 degrees.

Now that you have the angle, you can use TOA to solve for x (TOA = Tangent; Opposite over Adjacent).

tan(66.1) = x / 205

x / 205 = tan(66.1)

x = tan(66.1) * 205

x = 2.256628263 * 205

x = 462.6087939

So, you are about 462.61 yards from the cabin.

Hope this helps!

Answer:

20 bags

Step-by-step explanation:

683✖️19=12977

683✖️365=249295

249295/13000=19.17

--> 20 bags

Answer: k = 7

Step-by-step explanation:

12k=84

Divide(12)

k=7

Hope it helps <3

Answer:

Step-by-step explanation:

The product of 12 and k is 84

let's create an equation:

[tex]12k = 84[/tex]

Divide both sides of the equation by 12

[tex] \frac{12 \: k}{12} = \frac{84}{12} [/tex]

Calculate

[tex]k = 7[/tex]

Hope this helps...

Best regards!!

Answer:

395

Step-by-step explanation:

15.8=d/25

multiply both sides by 25 to remove the denominator

25×15.8=d

d=395

Answer:

3

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]x^{2} +b^{2} =(3\sqrt{2} )^{2}[/tex]

[tex]3*3=9[/tex][tex]\sqrt{2} *\sqrt{2} =2[/tex]

[tex]2*9=18[/tex]

9*2=18

x^2=9

b^2=9

x=3

Answer:

I believe that the answer is a cone

Step-by-step explanation:

A cone is a three dimensional figure that has a circular base and a smooth face that goes up into a single point.

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

8. As the name implies, a box-and-whisker plot looks like a box with two whiskers.  The box is the middle 50%.  The whiskers are the bottom 25% and the top 25%.

First, we need to sort the numbers from smallest to largest.  Starting with Set A:

Set A = {56, 57, 62, 68, 71, 82, 84, 92, 97, 101, 103, 106}

Now we find the median of the set, or the middle number.  Set A has 12 data points.  Since 12 is an even number, the median will be the average of the 6th and 7th numbers.

M = (82 + 84) / 2 = 83

Next, we find the median of the lower half.  There are 6 numbers in the lower half, so the median is the average of the 3rd and 4th numbers.

Ml = (62 + 68) / 2 = 65

Now we find the median of the upper half.  Again, there are 6 numbers in the upper half, so the median will be the average of the 3rd and 4th numbers.

Mu = (97 + 101) / 2 = 99

So the left whisker is from 56 to 65.

The box is from 65 to 99.

The right whisker is from 99 to 106.

Don't forget to mark the median, 83.

Repeat for Set B.

Set B = {36, 37, 42, 46, 48, 56, 58, 63, 69, 72, 75, 78}

M = (56 + 58) / 2 = 57

Ml = (42 + 46) / 2 = 44

Mu = (69 + 72) / 2 = 70.5

So the left whisker is from 36 to 44.

The box is from 44 to 70.5.

The right whisker is from 70.5 to 78.

The median is 57.

By graphing both on the same number line, we can easily compare them.

9. To make a dot plot, draw a number line starting from the smallest number and ending at the largest number.  For each number, draw a dot every time the number appears in the set.  For example, the number 3 appears twice in Set A, so draw two dots on 3.  You may find it helpful to sort the data first.

10. Draw a dot plot of the set to determine the shape.

Answer:

∠1 is 150°

∠2 is 30°

∠3 is 150°

∠4 is 30°

Step-by-step explanation:

∠1 is vertically opposite to ∠3 so they are equal

360° - (150° + 150°) = 360° - 300° = 60°

∠2 and ∠4 must sum to 60°

Step-by-step explanation:

From the question

∠1 is opposite to ∠ 3 and vertically opposite angles are equal

So

∠1 = ∠ 3

That's

∠ 3 and ∠ 4 are on a straight line and angles on a straight line add up to 180°

So to find ∠4, subtract ∠3 from 180°

That's

∠ 4 = 180 - ∠ 3

∠ 4 = 180 - 150

Since ∠ 4 and ∠ 2 are opposite they are also equal

That's

∠ 4 = ∠ 2

Therefore

Hope this helps you

Answer:

8*4*3=96 boxes in total

Step-by-step explanation:

I think. I just multiplies the 3 numbers. Hope this helps (:

Answer:

8*4*3=96 boxes in total

Step-by-step explanation:

I just multiplies the 3 numbers.

Answer:

Step by step explanation

Total length of pole = 21.3 m

Length of pole inside the ground = 0.2 m

Let length of pole outside the ground be X,

So, according to the Question,

[tex]x + 0.2 = 21.3[/tex]

Move constant to R.H.S and change its sign

[tex]x = 21.3 - 0.2[/tex]

Calculate the difference

[tex]x = 21.1 \: m[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

g(-2)= -2 + 5 =3  ( here we chose the function g(x)= x+5 as x< 3)

Step-by-step explanation:

g(3)= is not defined ( function is defined for x<3 and x>3 but not x=3)

g(4) = 6-4=2 ( here we chose the function g(x)= 6-x as x> 3)

Answer:

mosses

Step-by-step explanation:

use socratic

Mosses are also known as the amphibian of the plant kingdom. The mosses were the first plant that can even survive on the land.

Conifers, pines, and flowering plants developed much later after the evolution of bryophytes.

Therefore, the mosses were the first plant that can even survive on the land.

Learn more about Bryophytes:

https://brainly.com/question/841138

Answer:

E, needs more info to be determined

Step-by-step explanation:

We know that Kai takes 30 minutes round-trip to get to his school.

One way is uphill and the other is downhill.

He travels twice as fast downhill than uphill.

This means that uphill accounts for 20 minutes of the round-trip and downhill accounts for 10 minutes of his trip.

However, even with this information, we do not know how far his school is.

In order to figure out how far away his school is, we would need more information about the speed at which Kai is traveling.

Simply knowing that he travels twice as fast downhill is not enough.

This question could only be solved by knowing how many miles Kai travels uphill or downhill in a given time.